Real variables with basic metric space topology

Designed for a first course in real variables, this text presents the fundamentals for more advanced mathematical work, particularly in the areas of complex variables, measure theory, differential equations, functional analysis, and probability. Geared toward advanced undergraduate and graduate stud...

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Bibliographic Details
Main Author: Ash, Robert B
Format: Book
Language:English
Published: New York IEEE Press 1993
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090 |a QA 331.5  |b .A78 1993 
100 1 |a Ash, Robert B 
245 1 0 |a Real variables with basic metric space topology  |c Robert B. Ash 
260 |a New York  |b IEEE Press  |c 1993 
300 |a xvii, 213 p.  |b ill.  |c 24 cm. 
500 |a Includes index. 
500 |a "IEEE order number: PC0304-6"--T.p. verso 
505 0 |a Introduction -- Some Basic Topological Properties of R' -- Upper and Lower Limits of Sequences of Real Numbers -- Continuous Functions -- Differentiation -- Riemann-Stieltjes Integration -- Uniform Convergence and Applications -- Further Topological Results -- Epilogue -- Solutions to Problems -- Index. 
520 |a Designed for a first course in real variables, this text presents the fundamentals for more advanced mathematical work, particularly in the areas of complex variables, measure theory, differential equations, functional analysis, and probability. Geared toward advanced undergraduate and graduate students of mathematics, it is also appropriate for students of engineering, physics, and economics who seek an understanding of real analysis. 
650 0 |a Functions of real variables. 
650 0 |a Metric spaces. 
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